Calculate Resultant Temperature: 100g Steam at 100°C + 500g Ice at -20°C

In summary, the final temperature when 100g steam at 100°C is mixed with 500g ice at -20°C is 0°C. To calculate the resultant temperature, we use the formula: m1c1ΔT1 = m2c2ΔT2, where m represents mass, c represents specific heat capacity, and ΔT represents the change in temperature. A final temperature of 0°C means that the steam and ice have reached thermal equilibrium, where the transfer of heat has resulted in both substances having the same temperature. We can use this formula to calculate the resultant temperature in any scenario where two substances at different temperatures are mixed together, as long as there are no phase changes. The specific heat capacity
  • #1
Rishabh0110
1
0
1. The problem
What is the resultant temperature when 100g of steam at 100°C is passed through 500g of ice at -20°C.

Homework Equations


Q=mCDeltaT[/B]

The Attempt at a Solution


I am not sure whether both the quantities will combine to from water
 
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  • #2
Rishabh0110 said:
I am not sure whether both the quantities will combine to from water
What are your thoughts? Forum rules require you to try and show us what you have tried.
 

FAQ: Calculate Resultant Temperature: 100g Steam at 100°C + 500g Ice at -20°C

What is the final temperature when 100g steam at 100°C is mixed with 500g ice at -20°C?

The final temperature when 100g steam at 100°C is mixed with 500g ice at -20°C is 0°C. This is known as the melting point of water, where both the steam and ice will reach a common temperature.

How do you calculate the resultant temperature in this scenario?

To calculate the resultant temperature, we use the formula: m1c1ΔT1 = m2c2ΔT2, where m represents mass, c represents specific heat capacity, and ΔT represents the change in temperature. In this scenario, we can substitute in the values for steam and ice and solve for ΔT, which will give us the final temperature.

What does it mean when the final temperature is 0°C?

A final temperature of 0°C means that the steam and ice have reached thermal equilibrium, where the transfer of heat has resulted in both substances having the same temperature. This is also known as the melting point of water, where solid ice turns into liquid water.

Can we use this formula for calculating resultant temperature in other scenarios?

Yes, we can use this formula to calculate the resultant temperature in any scenario where two substances at different temperatures are mixed together. However, it is important to note that this formula only applies if the substances do not undergo any phase changes, such as melting or boiling.

How does the specific heat capacity affect the resultant temperature?

The specific heat capacity of a substance is a measure of how much energy is required to raise the temperature of 1 gram of that substance by 1 degree Celsius. In this scenario, the specific heat capacity of steam is much higher than that of ice, meaning that the steam will transfer more energy to the ice, resulting in a higher final temperature. The specific heat capacity plays a crucial role in determining the final temperature when two substances are mixed together.

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